From: Mark Steven Heyman (markheyman@infoproconsulting.com)
Date: Tue Sep 06 2005 - 05:14:18 BST
On 5 Sep 2005 at 21:42, Case wrote:
Matt poot wrote, "The chaos theory basically states
> that any random individual
> occurence can have infinite effects."
[Kevin Perez wrote]
> Not exactly. Chaos theory is an attempt to explain
> mathematically why some
> dynamic systems behave deterministically (e.g.,
> computer programs) but
> unpredictably (e.g., the weather).
[Case wrote]
Not exactly. Chaos theory is an attempt to describe dynamic systems
mathematically. It originated in an attempt to use a computer program to model weather
patterns.
[msh butts in]
Not exactly. Chaos refers to the issue of whether or not it is
possible to make accurate long-term predictions about the behavior of
any system, and this traces back to Henri Poincare's study of
astronomical systems -- knocking out Newton's determinism -- long
before computers, and therefore long before the meteorologist Edward
Lorenz, in 1963, wrote software to study a simplified model of the
weather, only to discover, much to his dismay, that it was impossible
to make long-term weather predictions because he wasn't able to input
finitely precise initial conditions. That is, miniscule variations
in initial input produced vastly variant predicted outcomes, the
famous "Butterfly Effect."
Now it's someone else's turn to take the Poot-Perez-Case-Heyman
explanation of Chaos to the next level of precision. Remember,
Poincare' is watching. :-)
Mark Steven Heyman (msh)
--
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everything." -- Henri Poincare'
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